7315533164016 has 720 divisors, whose sum is σ = 27491192951040. Its totient is φ = 1790734417920.

The previous prime is 7315533164011. The next prime is 7315533164089. The reversal of 7315533164016 is 6104613355137.

7315533164016 is a `hidden beast` number, since 7 + 3 + 1 + 553 + 31 + 64 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7315533164011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284605021 + ... + 284630723.

It is an arithmetic number, because the mean of its divisors is an integer number (38182212432).

Almost surely, 2^{7315533164016} is an apocalyptic number.

7315533164016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7315533164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745596475520).

7315533164016 is an abundant number, since it is smaller than the sum of its proper divisors (20175659787024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7315533164016 is a wasteful number, since it uses less digits than its factorization.

7315533164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25954 (or 25938 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 7315533164016 in words is "seven trillion, three hundred fifteen billion, five hundred thirty-three million, one hundred sixty-four thousand, sixteen".